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Finding the Fourth Proportional to 738.02, 1,106.08 and 623.81

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Solution

The fourth proportional to 738.02, 1,106.08 and 623.81 is: 934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,106.08 = 623.81 : x
  2. Step 2: Convert to fraction form
    738.02/1,106.08 = 623.81/x
  3. Step 3: Cross multiply
    738.02x = 1,106.08 × 623.81
  4. Step 4: Simplify right side
    738.02x = 689,983.76
  5. Step 5: Solve for x
    x = 689,983.76/738.02
  6. Step 6: Final answer
    x = 934.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.